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Search results for: GEOMETRIC ALGEBRA
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Annual Fall Workshop on Computational Geometry
Conferences -
Detection of Closing Crack in Beam Based on Responses Induced by Harmonic Excitation
PublicationThe non-linear contact model was chosen to simulate the closed crack in the cantilever beam. The study examines the shape and characteristics of the phase diagram of a cantilever beam with closed cracks. It investigates how various crack properties influence the geometry of the phase diagram and proposes a method for identifying cracks based on their features. The area of each closed curve in the phase diagram is determined using...
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Wizyjna kontrola ostrzy pił tarczowych.
PublicationDokładność geometrii ostrzy oraz ich położenie w korpusie piły są istotnymi elementami jakości pił tarczowych. Automatyczną i kompleksową kontrolę geometrii ostrzy pił tarczowych prowadzić można przy zastosowaniu wizyjnego kontrolera geometrii ostrzy pił tarczowych WKOPTar. W artykule opisano możliwości kontrolera, a także pokazano szereg przykładowych wyników badań geometrii ostrzy wraz z ich interpretacją.
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Calibration images under different lighting conditions vol. 2
Open Research DataDataset description: Calibration images under different lighting conditions vol. 1
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Calibration images under different lighting conditions - static for feature localisation
Open Research DataDataset description: Calibration images under different lighting conditions - static mode for feature detection
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Local mesh morphing technique for parametrized macromodels in the finite element method
PublicationThis paper presents a novel approach for enhancing the efficiency of the design process of microwave devices by means of the finite element method. It combines mesh morphing with local model order reduction (MOR) and yields parametrized macromodels that can be used to significantly reduce the number of variables in the FEM system of equations and acceleration of computer simulation. A projection basis for local reduction is generated...
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Kinematyczne pomiary GNSS na linii kolei wąskotorowej w Koszalinie
PublicationW artykule opisano metodę kinematycznych pomiarów geodezyjnych GNSS zastosowaną dla inwentaryzacji trasy kolejowej w terenie silnie zalesionym. W badaniach wskazano możliwości wykorzystania tej metody dla inwentaryzacji układu geometrycznego trasy kolei wąskotorowej w Koszalinie. Opisano najważniejsze różnice pomiędzy koleją o rozstawie szyn 1000 mm a 1435 mm oraz przyszłościowe zagadnienie planowanej rewitalizacji tego odcinka....
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Comparison of buckling resistance of columns modelled by beam and shell elements using non-linear analysis
PublicationThe aim of the paper is to investigate the stability process in the axially compressed columns modelled by beam and shell elements using static and dynamic finite element analysis by taking both the geometric and material non-linearity into account. The perfect columns and columns with geometric imperfections were analysed. The differences between the results of static and dynamic analyses in shell and beam models were discussed.
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Marcin Kujawa dr hab. inż.
PeopleI have graduated from the Faculty of Civil Engineering, Gdańsk University of Technology (https://pg.edu.pl/en) in 1999. I received my M.Sc. degree in civil engineering structures with specialization in bridge structures. Next, in 2007, I received my doctoral degree in technical sciences under the supervision of professor Czesław Szymczak (Scopus Author ID: 6603993146) at the Faculty of Civil Engineering, Gdańsk University of Technology....
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Testing of Software for the Planning of a Linear Object GNSS Measurement Campaign under Simulated Conditions
PublicationThe precision of a linear object measurement using satellite techniques is determined by the number and the relative position of the visible satellites by the receiver. The status of the visible constellation is described by DOP. The obtained geometric coefficient values are dependent on many variables. When determining these values, field obstacles at the receiver location and satellite positions changing with time must be taken...
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Badania obszarów zagrożonych zniszczeniem w biomateriałach koron stomatologicznych
PublicationDo analizy obszarów zagrożonych zniszczeniem w biomateriałach koron stomatologicznych zastosowano analizę strukturalną elementów skończonych MES. Opracowano dwu wymiarowy model korony stomatologicznej zamocowanej na kikucie zęba, w którym określono obszary występowania poszczególnych materiałów. Przyjęte do obliczeń numerycznych wartości modułu Younga i współczynniki Poissona odniesiono do rzeczywistych biomateriałów korony stomatologicznej....
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STABILITY AND LOAD BEARING CAPACITY OF A BARS WITH BUILT UP CROSS SECTION AND ELASTIC SUPPORTS
PublicationThe present paper is devoted to the numerical analysis and experimental tests of compressed bars with built–up cross section which are commonly used as a top chord of the roof trusses. The significant impact on carrying capacity for that kind of elements in case of out-of-plane buckling is appropriate choice of battens which are used to provide interaction between separate members. Linear buckling analysis results and nonlinear static...
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Joanna Janczewska prof. dr hab.
PeopleJoanna Janczewska obtained her PhD degree at the University of Gdansk in 2002. From October 1999 to September 2004 she was an assistant at the University of Gdansk. Since October 2004 she has been an assistant professor at the Gdansk University of Technology. Moreover, from October 2008 to September 2010 she had a visiting position in the Institute of Mathematics of the Polish Academy of Sciences. Her mathematical interests...
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Degree of entaglement as a physically ill-posted problem: The case of entaglement with vacuum
PublicationAnalizujemy przypadek fotonu w superpozycji różnych modów i zadajemy pytanie o stopień ich splątania z próżnią. Problem okazuje się być źle postawiony, gdyż nie wiemy którą reprezentację algebry CCR wybrać dla kwantowania pola. Gdy dokonamy wyboru jednoznacznie możemy rozwiązać zagadnienie splątania. Tak więc trudność nie leży w matematyce lecz w fizyce problemu.
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Geometria wykreślna niestacjonarne
e-Learning Courses -
A New Adaptive Method for the Extraction of Steel Design Structures from an Integrated Point Cloud
Open Research DataA new automatic and adaptive algorithm for edge extraction from a random point cloud was developed and presented herein. The proposed algorithm was tested using real measurement data. The developed algorithm is able to realistically reduce the amount of redundant data and correctly extract stable edges representing the geometric structures of a studied...
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Finite element modeling of plastic hinges based on ductility demand-capacity method using nonlinear material for dynamic analysis
PublicationThe article discusses modeling plastic hinges in reinforced concrete interme-diate supports using finite elements methods. The ductility demand-capacitymethod was used to determine the geometrical parameters of cross-section plas-ticization zones, their ability to move and rotate, as well as their ductility. Dueto the varied geometry and stiffness of the supports and their nonlinear behav-ior under dynamic load, this method was...
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Joanna Raczek dr inż.
PeopleEmployment 2003 -- 2019: Faculty of Applied Physics and Mathematics, Gdańsk University of Technology. 2019 - present: Faculty of Electronic, Informatics and Telecominications, Gdańsk University of Technology. Education May 2007: Doctor of Philosophy in Mathematics, University of Gdańsk. Doctoral dissertation: "Paired domination and doubly domination in graphs". Supervisor: dr hab. Jerzy Topp. 2000 -- 2004 Bachelor of Science...
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Minimal number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds
PublicationLet M be a smooth compact and simply-connected manifold with simply-connected boundary ∂M, r be a fixed odd natural number. We consider f, a C1 self-map of M, preserving ∂M . Under the assumption that the dimension of M is at least 4, we define an invariant Dr(f;M,∂M) that is equal to the minimal number of r-periodic points for all maps preserving ∂M and C1-homotopic to f. As an application, we give necessary and sufficient...
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Curlicues generated by circle homeomorphisms
PublicationWe investigate the curves in the complex plane which are generated by sequences of real numbers being the lifts of the points on the orbit of an orientation preserving circle homeomorphism. Geometrical properties of these curves such as boundedness, superficiality, local discrete radius of curvature are linked with dynamical properties of the circle homeomorphism which generates them: rotation number and its continued fraction...
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Parametrized Local Reduced-Order Models With Compressed Projection Basis for Fast Parameter-Dependent Finite-Element Analysis
PublicationThis paper proposes an automated parametric local model-order reduction scheme for the expedited design of microwave devices using the full-wave finite-element method (FEM). The approach proposed here results in parameterized reduced-order models (ROMs) that account for the geometry and material variation in the selected subregion of the structure. In each subregion, a parameter-dependent projection basis is generated by concatenating...
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THE APPLICATION OF KALMAN FILTERING TO PREDICT VERTICAL RAIL AXIS DISPLACEMENTS OF THE OVERHEAD CRANE BEING A COMPONENT OF SEAPORT TRANSPORT STRUCTURE
PublicationAs the devices designed to transport materials, the overhead cranes should meet certain geometric requirements for their operation to be safe. The presently available geodetic equipment, in particular total stations, provides opportunities for precise 3D measurements of coordinates of the controlled points. These coordinates make a basis for correcting the height of crane runway axes. The paper presents a method to calculate position...
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Mobile Cloud computing architecture for massively parallelizablegeometric computation
PublicationCloud Computing is one of the most disruptive technologies of this century. This technology has been widely adopted in many areas of the society. In the field of manufacturing industry, it can be used to provide advantages in the execution of the complex geometric computation algorithms involved on CAD/CAM processes. The idea proposed in this research consists in outsourcing part of the load to be com- puted in the client machines...
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Marek Przyborski dr hab. inż.
PeopleMarek Przyborski (b. March 20, 1964. Chełmża) - His fields of interest are remote sensing and close range photogrammetry. He conducts research on the use of so-called "high-speed cameras" to analyze the rapidly-changing phenomena. Co-author and author of publications dealing with the wide meaning of remote sensing applications related to the construction, transport, engineering, environment and homeland security. He is the author...
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Mechanical response of human thoracic spine ligaments under quasi-static loading: An experimental study
PublicationPurpose This study aimed to investigate the geometrical and mechanical properties of human thoracic spine ligaments subjected to uniaxial quasi-static tensile test. Methods Four human thoracic spines, obtained through a body donation program, were utilized for the study. The anterior longitudinal ligament (ALL), posterior longitudinal ligament (PLL), capsular ligament (CL), ligamenta flava (LF), and the interspinous ligament and...
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Experimental and numerical evaluation of mechanical behaviour of composite structural insulated wall panels under edgewise compression
PublicationA composite structural insulated sandwich panel (CSIP) is a quite novel approach to the idea of sandwich structures. A series of natural-scale experimental test is required each time a change in panel’s geometry is planned and a reliable computational tool is required to precede actual laboratory testing with virtual simulations. An attempt of creating such a tool has been made with use of a commercial FEM code ABAQUS, in order...
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Algebra liniowa 2 (2022/23)
e-Learning CoursesKurs algebry liniowej semestr 2 matematyki, rok akad. 2022/2023
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Algebra II ćwiczenia 2022/23
e-Learning Courses -
Algebra liniowa II 2023/2024
e-Learning Courses -
Heat exchange enhancement of jet impingement cooling with the novel humped-cone heat sink
PublicationJet impingement cooling technology is applicable to control temperature of devices, where very high heat flux is generated within a small area. This paper is about the improvement of the jet impingement cooling efficiency by the heat sink geometry modification. Two reference cases were sourced from the literature – flat heat sink and modified one with cone in the jet stagnation region. Such a change improves cooling capability...
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WETI - Matematyka - Ćwiczenia 2016/17 (D.Grott)
e-Learning CoursesMatematyka elementarnaAnaliza IAnaliza IIAlgebra liniowa mutex/ocfipreoqyfb/mutex
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Physicochemical studies (BET) of nanoparticles used for 3D printable conductive composites
Open Research DataThis dataset contains physico-chemical examination of fillers used to fabricate new 3D printing-dedicated composites with poly-lactic acid (PLA), carbon black (CB) and nanodiamond fillers. Geometric surface area of the nanoparticles was studied by Brunauer–Emmett–Teller (BET) adsorption/desorption isotherms. Investigated samples: CB Ensaco 250G, detonation...
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APPLICATION OF THE KOSECKI’S METHOD IN DESIGNING OF OFFSHORE WIND POWER PLANTS FOUNDATION
PublicationThe concept of offshore wind power plants has been well developed in many European countries. There is no such thing as design of offshore wind power plants according to national tradition. The main problem is the lack of standards and guidelines. Ones being applied are Scandinavian or American methods which are not fully adapted to the conditions of the Baltic Sea. The article focuses on the monopile design, as it is currently the...
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Wstęp do grafiki komputerowej i geometrii obliczeniowej [2022/23]
e-Learning CoursesWstęp do grafiki komputerowej i geometrii obliczeniowej, st. II, sem. 1 Matematyka
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Wstęp do grafiki komputerowej i geometrii obliczeniowej [2023/24]
e-Learning CoursesWstęp do grafiki komputerowej i geometrii obliczeniowej, st. II, sem. 1 Matematyka
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Fraktale rok akad. 2023/2024
e-Learning CoursesCelem wykładu jest przybliżenie słuchaczom podstawowych pojęć i faktów z geometrii fraktalnej.
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Analysis of Mapping within S-module Framework
PublicationW artykule zaprezentowano wyniki prac na podejściem konglomeratowym. Podejście to polega na semantycznym opisywaniu zawartości modułów ontologicznych z wykorzystaniem zdefiniowanej algebry modułów. Głównym osiągnięciem zaprezentowanym w pracy jest opis procesu przekształcania bazy wiedzy DDL w zbiór konglomeratów. Jako że te dwie metody prezentują różne podejścia do modularyzacja, analiza procesu stanowi podstawę do dyskusji na...
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Recent advances of selected passive heat transfer intensification methods for phase change material-based latent heat energy storage units: A review
PublicationThe following article overviews recent studies regarding heat transfer enhancement methods, explicitly focusing on fins and coils utilization, in phase change material-based latent heat thermal energy storage systems. It discusses the influence of various geometrical and material parameters on the melting and solidification processes, as well as the orientation of the heat transfer surface within the storage tank. Additionally,...
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Polymodal Method of Improving the Quality of Photogrammetric Images and Models
PublicationPhotogrammetry using unmanned aerial vehicles has become very popular and is already commonly used. The most frequent photogrammetry products are an orthoimage, digital terrain model and a 3D object model. When executing measurement flights, it may happen that there are unsuitable lighting conditions, and the flight itself is fast and not very stable. As a result, noise and blur appear on the images, and the images themselves can...
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Modelowanie przestrzennego rozkładu magnetycznego pola rozproszonego dla złączy doczołowych.
PublicationOpisano wyniki analizy numerycznej (metoda elementów skończonych) rozkładu indukcji magnetycznej wewnątrz i przy powierzchni złącz spawanych. Badano wpływ materiału, geometrii spoiny oraz geometrii wady na te rozkłady.
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On forced vibrations of piezo-flexomagnetic nano-actuator beams
PublicationThe effect of excitation frequency on the piezomagnetic Euler-Bernoulli nanobeam taking the flexomagnetic material phenomenon into consideration is investigated in this chapter. The magnetization with strain gradients creates flexomagneticity. We couple simultaneously the piezomagnetic and flexomagnetic properties in an inverse magnetization. Resemble the flexoelectricity, the flexomagneticity is also size-dependent. So, it has...
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International Conference on Discrete Geometry for Computer Imagery
Conferences -
Modeling Parallel Applications in the MERPSYS Environment
PublicationThe chapter presents how to model parallel computational applications for which simulation of execution in a large-scale parallel or distributed environment is performed within the MERPSYS environment. Specifically, it is shown what approaches can be adopted to model key paradigms often used for parallel applications: master-slave, geometric parallelism (single program multiple data), pipelined and divide-and-conquer applications....
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Applications of Tensor Analysis in Continuum Mechanics
PublicationA tensor field is a tensor-valued function of position in space. The use of tensor fields allows us to present physical laws in a clear, compact form. A byproduct is a set of simple and clear rules for the representation of vector differential operators such as gradient, divergence, and Laplacian in curvilinear coordinate systems. The tensorial nature of a quantity permits us to formulate transformation rules for its components...
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Równania różniczkowe II 2022/2023
e-Learning CoursesWFTIMS, studia II stopnia, kierunek: Matematyka, specjalność: Geometria i grafika komputerowa, sem. 2
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Równania całkowe (Integral equations) 2022/2023
e-Learning CoursesWFTIMS, studia II stopnia, kierunek: Matematyka, specjalność: Geometria i grafika komputerowa, sem. 3
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Równania różniczkowe II 2021/2022
e-Learning CoursesWFTIMS, studia II stopnia, kierunek: Matematyka, specjalność: Geometria i grafika komputerowa, sem. 2
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Równania różniczkowe II 2023/2024
e-Learning CoursesWFTIMS, studia II stopnia, kierunek: Matematyka, specjalność: Geometria i grafika komputerowa, sem. 2
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The Impact of Direct Normal Irradiation on the Solar Tower Power Plant Performance based on Real and Satellite Data: Analysis on Algerian Regions
PublicationThe present paper presents a deep study on the possibility of implementing Concentrated Solar Power (CSP) plants in Algeria for the production of the electrical energy. Indeed, this paper focusses mainly on the main parameters, which can have an important impact on the choice of the location, the dimension and the available thermal energy storage system. In this study, three main parameters are investigate...
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3D point cloud as a representation of silo / tank
Open Research DataThe product presents a point cloud in the set of coordinates X Y Z. The data was obtained by terrestrial laser scanning and its processing for the analysis of tanks geometry. The development process indicates the possibility to obtain the reliable results useful for the evaluation of the tank side surfaces geometry.